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Finding the Third Proportional to 68,168 and 159,210

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Solution

The third proportional to 68,168 and 159,210 is: 371,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,168 : 159,210 = 159,210 : x
  2. Step 2: Convert to fraction form
    68,168/159,210 = 159,210/x
  3. Step 3: Cross multiply
    68,168x = 159,210 × 159,210
  4. Step 4: Simplify right side
    68,168x = 25,347,824,100
  5. Step 5: Solve for x
    x = 25,347,824,100/68,168
  6. Step 6: Final answer
    x = 371,843.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.